I believe it is C. a histogram
(if it’s not then sorry)
Answer:
ΔABC ~ ΔDEC
Step-by-step explanation:
Given : DE║AB
Statements Reasons
1). DE║AB 1). Given
2). ∠CDE ≅ ∠CAB 2). Corresponding angles
[Since DE║AB and AC is the transverse]
3). ∠CED ≅ ∠CBA 3). Corresponding angles
[Since DE║AB and BC is the transverse]
4). ΔABC ~ ΔDEC 4). By AA property of similarity
Hence ΔABC is similar to ΔDEC.
Answer:

Step-by-step explanation:
Given

See attachment
Required
Determine the measure of 
and
are on a straight line.
So:
--- angle on a straight line
Substitute known values

Collect like terms

